Two particles, of masses M and 2M, moving as | vedclass

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Question

$\begin{array}{l}
2MV,\cos {30^ \circ } + M{v_2}\cos {45^ \circ }\
 = 10\,M\,\cos {30^ \circ } + 10\cos {45^ \circ }\
 \Rightarrow {v_1

Vedclass · Accepted Answer

$6.5\, m/s$ and $6.3\, m/s$

Vedclass · Answer

$\begin{array}{l}
2MV,\cos {30^ \circ } + M{v_2}\cos {45^ \circ }\
 = 10\,M\,\cos {30^ \circ } + 10\cos {45^ \circ }\
 \Rightarrow {v_1}\sqrt 3  + \frac{{{v_2}}}{{\sqrt 2 }} = 5\sqrt 3  + 5\sqrt 2 \,\,\,\,\,\,\,\,\,\,\,...\left( i ight)\
2MV,\,\sin {30^ \circ } - M{V_2}\sin {45^ \circ }\
 =  - 10\,M\sin {30^ \circ } + 10\,M\,\sin {45^ \circ }
\end{array}$

$\begin{array}{l}
V - \frac{{{V_2}}}{{\sqrt 2 }} =  - 5 + 5\sqrt 2 \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...\left( {ii} ight)\
{V_1} = \frac{{5\left( {\sqrt 3  - 1} ight) + 10\sqrt 2 }}{{\sqrt 3  + 1}} = \frac{{17.5}}{{2.7}} = 6.5\,m/s\
{V_2} = 6.3\,m/s
\end{array}$

Two particles, of masses $M$ and $2M$, moving as shown, with speeds of $10\, m/s$ and $5\, m/s$, collide elastically at the origin. After the collision, they move along the indicated directions with speeds $v_1$ and $v_2$ respectively. The value of $v_1$ and $v_2$ are nearly

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